Within 2 \ Gamma _ \ mathrm { res } of the resonant energy, the phase of the resonant scattering amplitude changes by \ pi.
32.
These vertices and propagators produce a single cover of the moduli space of n-point closed string scattering amplitudes so no higher order vertices are required.
33.
Therefore, any given on-shell representation of scattering amplitudes is not unique, but all such representations of a given interaction yield the same amplituhedron.
34.
With this realization, theorists hoped to construct a theory of composite particles on Regge trajectories, whose scattering amplitudes had the asymptotic form demanded by Regge theory.
35.
In twistor theory, a branch of theoretical physics, a polytope called the amplituhedron is used in to calculate the scattering amplitudes of subatomic particles when they collide.
36.
Through the use of the optical theorem the imaginary part of the scattering amplitude is then related to the total cross section, which is a physically measurable quantity.
37.
While the computation of the partition function correspond to the cosmological constant, the N-point function, including p vertex operators, describes the scattering amplitude of strings.
38.
When this is taken into account it can be used to calculate the 4-point scattering amplitude ( the 3-point amplitude is simply a delta function ):
39.
After many false starts, Dolen Horn and Schmidt understood a crucial property that led Gabriele Veneziano to formulate a self-consistent scattering amplitude, the first string theory.
40.
The most important contribution of twistor string theory has been in the calculation of particle-particle collision scattering amplitudes, which determine the probabilities of the possible scattering processes.
